Search a number
-
+
42539733600 = 25352713214983
BaseRepresentation
bin100111100111100100…
…001101001001100000
311001210200000101000220
4213213210031021200
51144110132433400
631313102043040
73034113524640
oct474744151140
9131720011026
1042539733600
111704a630531
1282b2579480
13401c2b4200
1420b7a02520
15118e9607a0
hex9e790d260

42539733600 has 432 divisors, whose sum is σ = 171368531712. Its totient is φ = 8974817280.

The previous prime is 42539733589. The next prime is 42539733637. The reversal of 42539733600 is 633793524.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2831709 + ... + 2846691.

It is an arithmetic number, because the mean of its divisors is an integer number (396686416).

Almost surely, 242539733600 is an apocalyptic number.

42539733600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42539733600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85684265856).

42539733600 is an abundant number, since it is smaller than the sum of its proper divisors (128828798112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42539733600 is a wasteful number, since it uses less digits than its factorization.

42539733600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15039 (or 15013 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 42539733600 in words is "forty-two billion, five hundred thirty-nine million, seven hundred thirty-three thousand, six hundred".